Question

Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The container has material covering all six sides.

(a) What is the capacity of the container?
(b) How much material was used to make the container?

Answer 1

The capacity of the container is 24ft^3

52ft^2 of material was used to make the container

Answer 2

(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft³

(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²
4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²
2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²

Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²